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» The Rewriting Calculus as a Combinatory Reduction System
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IFIP
2004
Springer
14 years 27 days 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
13 years 9 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...
CORR
2010
Springer
194views Education» more  CORR 2010»
13 years 5 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
13 years 11 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»
13 years 8 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