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» The Rewriting Calculus as a Combinatory Reduction System
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IFIP
2004
Springer
15 years 2 months ago
The Simply-typed Pure Pattern Type System Ensures Strong Normalization
Pure Pattern Type Systems (P2 TS) combine in a unified setting the capabilities of rewriting and λ-calculus. Their type systems, adapted from Barendregt’s λ-cube, are especial...
Benjamin Wack
FLOPS
2008
Springer
14 years 11 months ago
Rewriting and Call-Time Choice: The HO Case
It is known that the behavior of non-deterministic functions with call-time choice semantics, present in current functional logic languages, is not well described by usual approach...
Francisco Javier López-Fraguas, Juan Rodr&i...
89
Voted
CORR
2010
Springer
194views Education» more  CORR 2010»
14 years 7 months ago
A Focused Sequent Calculus Framework for Proof Search in Pure Type Systems
Basic proof search tactics in logic and type theory can be seen as the root-rst applications of rules in an appropriate sequent calculus, preferably without the redundancies gener...
Stéphane Lengrand, Roy Dyckhoff, James McKi...
CSL
2006
Springer
15 years 1 months ago
A Sequent Calculus for Type Theory
Based on natural deduction, Pure Type Systems (PTS) can express a wide range of type theories. In order to express proof-search in such theories, we introduce the Pure Type Sequent...
Stéphane Lengrand, Roy Dyckhoff, James McKi...
LFP
1990
171views more  LFP 1990»
14 years 10 months ago
Operational and Axiomatic Semantics of PCF
PCF, as considered in this paper, is a lazy typed lambda calculus with functions, pairing, fixed-point operators and arbitrary algebraic data types. The natural equational axioms ...
Brian T. Howard, John C. Mitchell