## Explicit substitutions.(English)Zbl 0941.68542

Summary: The $$\lambda\sigma$$-calculus is a refinement of the $$\lambda$$-calculus where substitutions are manipulated explicitly. The $$\lambda\sigma$$-calculus provides a setting for studying the theory of substitutions, with pleasant mathematical properties. It is also a useful bridge between the classical $$\lambda$$-calculus and concrete implementations.

### MSC:

 68N18 Functional programming and lambda calculus 68Q55 Semantics in the theory of computing 03B40 Combinatory logic and lambda calculus
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### References:

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