The clausal theory of types
Linear Interpolation for the Higher-Order Matching Problem
TAPSOFT '97 Proceedings of the 7th International Joint Conference CAAP/FASE on Theory and Practice of Software Development
Higher-Order Matching and Tree Automata
CSL '97 Selected Papers from the11th International Workshop on Computer Science Logic
The "Hardest'' Natural Decidable Theory
LICS '97 Proceedings of the 12th Annual IEEE Symposium on Logic in Computer Science
The complexity of unification.
The complexity of unification.
The role of polymorphism in the characterisation of complexity by soft types
MFCS'11 Proceedings of the 36th international conference on Mathematical foundations of computer science
A game-theoretic approach to deciding higher-order matching
ICALP'06 Proceedings of the 33rd international conference on Automata, Languages and Programming - Volume Part II
Higher-order matching and games
CSL'05 Proceedings of the 19th international conference on Computer Science Logic
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We use the standard encoding of Boolean values in simply typed lambda calculus to develop a method of translating SAT problems for various logics into higher order matching. We obtain this way already known NP-hardness bounds for the order two and three and a new result that the fourth order matching is NEXPTIME-hard.