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TLCA
2009
Springer
15 years 8 months ago
Some Observations on the Proof Theory of Second Order Propositional Multiplicative Linear Logic
Abstract. We investigate the question of what constitutes a proof when quantifiers and multiplicative units are both present. On the technical level this paper provides two new as...
Lutz Straßburger
IFIP
2004
Springer
15 years 7 months ago
Ensuring Termination by Typability
A term terminates if all its reduction sequences are of finite length. We show four type systems that ensure termination of well-typed π-calculus processes. The systems are obtai...
Yuxin Deng, Davide Sangiorgi
CSL
2001
Springer
15 years 6 months ago
Life without the Terminal Type
We introduce a method of extending arbitrary categories by a terminal object and apply this method in various type theoretic settings. In particular, we show that categories that a...
Lutz Schröder
145
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FOSSACS
2004
Springer
15 years 7 months ago
Polynomials for Proving Termination of Context-Sensitive Rewriting
Abstract. We show how to generate well-founded and stable term orderings based on polynomial interpretations over the real numbers. Monotonicity (another usual requirement in termi...
Salvador Lucas
TACAS
2010
Springer
225views Algorithms» more  TACAS 2010»
15 years 9 months ago
Automated Termination Analysis for Programs with Second-Order Recursion
Many algorithms on data structures such as terms (finitely branching trees) are naturally implemented by second-order recursion: A first-order procedure f passes itself as an arg...
Markus Aderhold