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» Proof Terms for Simply Typed Higher Order Logic
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LPAR
2012
Springer
12 years 3 months ago
The TPTP Typed First-Order Form with Arithmetic
Abstract. The TPTP World is a well established infrastructure supporting research, development, and deployment of Automated Theorem Proving systems. Recently, the TPTP World has be...
Geoff Sutcliffe, Stephan Schulz, Koen Claessen, Pe...
RTA
2004
Springer
14 years 29 days ago
Rewriting for Fitch Style Natural Deductions
Logical systems in natural deduction style are usually presented in the Gentzen style. A different definition of natural deduction, that corresponds more closely to proofs in ord...
Herman Geuvers, Rob Nederpelt
POPL
2010
ACM
14 years 5 months ago
Static Determination of Quantitative Resource Usage for Higher-Order Programs
We describe a new automatic static analysis for determining upper-bound functions on the use of quantitative resources for strict, higher-order, polymorphic, recursive programs de...
Steffen Jost, Hans-Wolfgang Loidl, Kevin Hammond, ...
LFCS
1992
Springer
13 years 11 months ago
Denotations for Classical Proofs - Preliminary Results
This paper addresses the problem of extending the formulae-as-types principle to classical logic. More precisely, we introduce a typed lambda-calculus (-LK ) whose inhabited types...
Philippe de Groote
LFCS
1992
Springer
13 years 11 months ago
Strictness Logic and Polymorphic Invariance
We describe a logic for reasoning about higher-order strictness properties of typed lambda terms. The logic arises from axiomatising the inclusion order on certain closed subsets ...
P. N. Benton