diff --git a/functions/core/compare_versions.go b/functions/core/compare_versions.go
new file mode 100644
index 00000000..d5cd91fd
--- /dev/null
+++ b/functions/core/compare_versions.go
@@ -0,0 +1,36 @@
+package core
+
+import (
+	"strconv"
+	"strings"
+)
+
+// CompareVersions compares two semver strings (e.g. "v1.4.0", "1.2.3").
+// Returns -1 if a < b, 0 if equal, 1 if a > b.
+func CompareVersions(a, b string) int {
+	pa := parseVersionParts(a)
+	pb := parseVersionParts(b)
+	for i := 0; i < 3; i++ {
+		if pa[i] < pb[i] {
+			return -1
+		}
+		if pa[i] > pb[i] {
+			return 1
+		}
+	}
+	return 0
+}
+
+func parseVersionParts(v string) [3]int {
+	v = strings.TrimPrefix(v, "v")
+	parts := strings.SplitN(v, ".", 3)
+	var nums [3]int
+	for i, p := range parts {
+		if i >= 3 {
+			break
+		}
+		n, _ := strconv.Atoi(p)
+		nums[i] = n
+	}
+	return nums
+}
diff --git a/functions/core/compare_versions.md b/functions/core/compare_versions.md
new file mode 100644
index 00000000..ebc06271
--- /dev/null
+++ b/functions/core/compare_versions.md
@@ -0,0 +1,42 @@
+---
+name: compare_versions
+kind: function
+lang: go
+domain: core
+version: "1.0.0"
+purity: pure
+signature: "func CompareVersions(a, b string) int"
+description: "Compara dos strings de version semantica (semver). Soporta formato con o sin prefijo 'v'. Retorna -1, 0 o 1."
+tags: [core, version, semver, compare, parse]
+uses_functions: []
+uses_types: []
+returns: []
+returns_optional: false
+error_type: ""
+imports: [strconv, strings]
+params:
+  - name: a
+    desc: "primera version (ej: 'v1.4.0' o '1.4.0')"
+  - name: b
+    desc: "segunda version"
+output: "-1 si a < b, 0 si iguales, 1 si a > b"
+tested: false
+tests: []
+test_file_path: ""
+file_path: "functions/core/compare_versions.go"
+source_repo: "https://gitea-dgg044oo04woo4ggcsws4gk0.organic-machine.com/egutierrez/DevLauncher.git"
+source_license: "MIT"
+source_file: "installer/core/version.go"
+---
+
+## Ejemplo
+
+```go
+core.CompareVersions("v1.4.0", "v1.3.9")  // 1
+core.CompareVersions("1.0.0", "1.0.0")    // 0
+core.CompareVersions("v0.9.0", "v1.0.0")  // -1
+```
+
+## Notas
+
+Compara major.minor.patch como enteros. Ignora pre-release tags y metadata (solo los 3 numeros). Partes faltantes se tratan como 0.
diff --git a/functions/core/longest_common_prefix.go b/functions/core/longest_common_prefix.go
new file mode 100644
index 00000000..5a3af419
--- /dev/null
+++ b/functions/core/longest_common_prefix.go
@@ -0,0 +1,21 @@
+package core
+
+import "strings"
+
+// LongestCommonPrefix returns the longest string that is a prefix of every item.
+// Returns "" if the slice is empty or no common prefix exists.
+func LongestCommonPrefix(items []string) string {
+	if len(items) == 0 {
+		return ""
+	}
+	prefix := items[0]
+	for _, item := range items[1:] {
+		for !strings.HasPrefix(item, prefix) {
+			if prefix == "" {
+				return ""
+			}
+			prefix = prefix[:len(prefix)-1]
+		}
+	}
+	return prefix
+}
diff --git a/functions/core/longest_common_prefix.md b/functions/core/longest_common_prefix.md
new file mode 100644
index 00000000..474c3832
--- /dev/null
+++ b/functions/core/longest_common_prefix.md
@@ -0,0 +1,42 @@
+---
+name: longest_common_prefix
+kind: function
+lang: go
+domain: core
+version: "1.0.0"
+purity: pure
+signature: "func LongestCommonPrefix(items []string) string"
+description: "Retorna el prefijo comun mas largo compartido por todos los strings del slice. Util para autocompletado de rutas y comandos."
+tags: [core, string, prefix, autocomplete, common]
+uses_functions: []
+uses_types: []
+returns: []
+returns_optional: false
+error_type: ""
+imports: [strings]
+params:
+  - name: items
+    desc: "slice de strings para buscar prefijo comun"
+output: "prefijo comun mas largo, o vacio si no hay coincidencia"
+tested: false
+tests: []
+test_file_path: ""
+file_path: "functions/core/longest_common_prefix.go"
+source_repo: "https://gitea-dgg044oo04woo4ggcsws4gk0.organic-machine.com/egutierrez/DevLauncher.git"
+source_license: "MIT"
+source_file: "launcher/core/commands.go"
+---
+
+## Ejemplo
+
+```go
+prefix := core.LongestCommonPrefix([]string{"/home/user/docs", "/home/user/downloads", "/home/user/desktop"})
+// prefix == "/home/user/d"
+
+empty := core.LongestCommonPrefix([]string{"abc", "xyz"})
+// empty == ""
+```
+
+## Notas
+
+Compara caracter por caracter acortando el prefijo progresivamente. Complejidad O(n*m) donde n es el numero de strings y m la longitud del prefijo.
diff --git a/functions/core/parse_version.go b/functions/core/parse_version.go
new file mode 100644
index 00000000..138a170b
--- /dev/null
+++ b/functions/core/parse_version.go
@@ -0,0 +1,15 @@
+package core
+
+import "strings"
+
+// ParseVersion extracts the version tag from the first word of the first line.
+// For example, "v1.4.0 - Description" returns "v1.4.0".
+// Returns "" if the input is empty.
+func ParseVersion(content string) string {
+	line := strings.SplitN(strings.TrimSpace(content), "\n", 2)[0]
+	word := strings.Fields(line)
+	if len(word) == 0 {
+		return ""
+	}
+	return word[0]
+}
diff --git a/functions/core/parse_version.md b/functions/core/parse_version.md
new file mode 100644
index 00000000..322d5a47
--- /dev/null
+++ b/functions/core/parse_version.md
@@ -0,0 +1,42 @@
+---
+name: parse_version
+kind: function
+lang: go
+domain: core
+version: "1.0.0"
+purity: pure
+signature: "func ParseVersion(content string) string"
+description: "Extrae el tag de version del primer campo de la primera linea de texto. Util para parsear archivos VERSION.txt o salida de comandos --version."
+tags: [core, version, parse, text, extract]
+uses_functions: []
+uses_types: []
+returns: []
+returns_optional: false
+error_type: ""
+imports: [strings]
+params:
+  - name: content
+    desc: "texto con version en la primera palabra de la primera linea"
+output: "string con el tag de version (ej: 'v1.4.0'), o vacio"
+tested: false
+tests: []
+test_file_path: ""
+file_path: "functions/core/parse_version.go"
+source_repo: "https://gitea-dgg044oo04woo4ggcsws4gk0.organic-machine.com/egutierrez/DevLauncher.git"
+source_license: "MIT"
+source_file: "installer/core/version.go"
+---
+
+## Ejemplo
+
+```go
+v := core.ParseVersion("v0.4.9 - Instalador Julia Windows (2026-02-28)")
+// v == "v0.4.9"
+
+v2 := core.ParseVersion("1.0.0\nChangelog...")
+// v2 == "1.0.0"
+```
+
+## Notas
+
+Toma solo el primer campo (separado por whitespace) de la primera linea. No valida formato semver — simplemente extrae el primer token.
diff --git a/functions/core/rel_or_full.go b/functions/core/rel_or_full.go
new file mode 100644
index 00000000..4779396a
--- /dev/null
+++ b/functions/core/rel_or_full.go
@@ -0,0 +1,13 @@
+package core
+
+import "path/filepath"
+
+// RelOrFull returns target relative to base when possible,
+// otherwise returns target unchanged.
+func RelOrFull(base, target string) string {
+	rel, err := filepath.Rel(base, target)
+	if err != nil {
+		return target
+	}
+	return rel
+}
diff --git a/functions/core/rel_or_full.md b/functions/core/rel_or_full.md
new file mode 100644
index 00000000..db1ad928
--- /dev/null
+++ b/functions/core/rel_or_full.md
@@ -0,0 +1,44 @@
+---
+name: rel_or_full
+kind: function
+lang: go
+domain: core
+version: "1.0.0"
+purity: pure
+signature: "func RelOrFull(base, target string) string"
+description: "Retorna el path de target relativo a base. Si filepath.Rel falla, retorna target sin cambios. Util para mostrar paths cortos en UIs."
+tags: [core, path, relative, filepath, display]
+uses_functions: []
+uses_types: []
+returns: []
+returns_optional: false
+error_type: ""
+imports: [path/filepath]
+params:
+  - name: base
+    desc: "directorio base para calcular la ruta relativa"
+  - name: target
+    desc: "path absoluto o relativo a convertir"
+output: "path relativo a base, o target original si la conversion falla"
+tested: false
+tests: []
+test_file_path: ""
+file_path: "functions/core/rel_or_full.go"
+source_repo: "https://gitea-dgg044oo04woo4ggcsws4gk0.organic-machine.com/egutierrez/DevLauncher.git"
+source_license: "MIT"
+source_file: "launcher/core/script_query.go"
+---
+
+## Ejemplo
+
+```go
+rel := core.RelOrFull("/home/user/project", "/home/user/project/src/main.go")
+// rel == "src/main.go"
+
+full := core.RelOrFull("/home/user", "/other/path")
+// full == "../../other/path"
+```
+
+## Notas
+
+Wrapper seguro sobre `filepath.Rel` que nunca retorna error. Si los paths estan en volúmenes distintos (Windows), retorna el target original.
diff --git a/functions/core/split_command_and_arg.go b/functions/core/split_command_and_arg.go
new file mode 100644
index 00000000..e3ed01c1
--- /dev/null
+++ b/functions/core/split_command_and_arg.go
@@ -0,0 +1,20 @@
+package core
+
+import "strings"
+
+// SplitCommandAndArg splits "cmd arg" into its two parts.
+// Returns (cmd, arg, true) if a space separator is found,
+// or ("", "", false) if the input has no space or is empty.
+func SplitCommandAndArg(input string) (cmd, arg string, ok bool) {
+	trimmed := strings.TrimSpace(input)
+	idx := strings.Index(trimmed, " ")
+	if idx == -1 {
+		return "", "", false
+	}
+	cmd = strings.TrimSpace(trimmed[:idx])
+	arg = strings.TrimSpace(trimmed[idx+1:])
+	if cmd == "" {
+		return "", "", false
+	}
+	return cmd, arg, true
+}
diff --git a/functions/core/split_command_and_arg.md b/functions/core/split_command_and_arg.md
new file mode 100644
index 00000000..1a95c52e
--- /dev/null
+++ b/functions/core/split_command_and_arg.md
@@ -0,0 +1,42 @@
+---
+name: split_command_and_arg
+kind: function
+lang: go
+domain: core
+version: "1.0.0"
+purity: pure
+signature: "func SplitCommandAndArg(input string) (cmd, arg string, ok bool)"
+description: "Separa un string 'comando argumento' en sus dos partes por el primer espacio. Retorna ok=false si no hay espacio o el input esta vacio."
+tags: [core, string, split, command, parse, cli]
+uses_functions: []
+uses_types: []
+returns: []
+returns_optional: false
+error_type: ""
+imports: [strings]
+params:
+  - name: input
+    desc: "string con formato 'comando argumento'"
+output: "tupla (cmd, arg, ok) donde ok indica si se encontro separador"
+tested: false
+tests: []
+test_file_path: ""
+file_path: "functions/core/split_command_and_arg.go"
+source_repo: "https://gitea-dgg044oo04woo4ggcsws4gk0.organic-machine.com/egutierrez/DevLauncher.git"
+source_license: "MIT"
+source_file: "launcher/core/commands.go"
+---
+
+## Ejemplo
+
+```go
+cmd, arg, ok := core.SplitCommandAndArg("cd /home/user")
+// cmd == "cd", arg == "/home/user", ok == true
+
+_, _, ok2 := core.SplitCommandAndArg("exit")
+// ok2 == false
+```
+
+## Notas
+
+Solo separa por el primer espacio. El argumento puede contener espacios adicionales. Trims whitespace en ambos extremos del input y de cada parte.