Automated Reasoning: First International Joint Conference, by Neil D. Jones (auth.), Rajeev Goré, Alexander Leitsch,

By Neil D. Jones (auth.), Rajeev Goré, Alexander Leitsch, Tobias Nipkow (eds.)

This e-book constitutes the refereed complaints of the 1st overseas Joint convention on computerized Reasoning, IJCAR 2001, held in Siena, Italy, in June 2001. The 37 study papers and 19 procedure descriptions awarded including 3 invited contributions have been rigorously reviewed and chosen from a complete of 112 submissions. The publication deals topical sections on description, modal, and temporal logics; saturation dependent theorem proving, functions, and information constructions; good judgment programming and nonmonotonic reasoning; propositional satisfiability and quantified Boolean common sense; logical frameworks, higher-order good judgment, and interactive theorem proving; equational theorem proving and time period rewriting; tableau, sequent, and usual deduction calculi and evidence idea; automata, specification, verification, and logics of courses; and nonclassical logics.

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3. J. Avenhaus and B. L¨ ochner. Cce: Testing ground joinability. In R. Gore, A. Leitsch, and T. Nipkow, editors, IJCAR 2001, 2001. this volume. 4. F. Baader and W. Snyder. Unification theory. In A. Robinson and A. Voronkov, editors, Handbook of Automated Reasoning, volume I, chapter 8, pages 445–532. Elsevier Science, 2001. Algorithms, Datastructures, and Other Issues 23 5. L. Bachmair, T. V. Ramakrishnan. Associative-commutative discrimination nets. -C. -P. Jouannaud, editors, Proceedings of the 4th International Joint Conference on Theory and Practice of Software Development (TAPSOFT), volume 668 of Lecture Notes in Computer Science, pages 61–74, Orsay, France, April 1993.

A : ∃≤n R ∈ A, and 2. ∃ b1 , . . , bm ∈ O, S1 , . . , Sm ∈ R↓ : {(a, b1 ) : S1 , . . , (a, bm ) : Sm } ⊆ A with m > n, and . 3. ∃ bi , bj ∈ {b1 , . . e. replace every occurrence of bi in A by bj R∃P The predicate exists rule (generating). if 1. a : ∃ f1 , . . , fn . P ∈ A, and 2. ¬∃x1 , . . , xn ∈ OC : {(a, x1 ) : f1 , . . (a, xn ) : fn , (x1 , . . , xn ) : P} ⊆ A then A = A ∪ {(a, x1 ) : f1 , . . (a, xn ) : fn , (x1 , . . , xn ) : P} where x1 , . . n We call the rules R and R∃≤n nondeterministic rules since they can be applied in different ways to the same ABox.

Meltzer and D. Michie, editors, Machine Intelligence, volume 7, pages 73–90. Edinburgh University Press, 1972. Algorithms, Datastructures, and Other Issues 27 69. W. A. Brown. Fast many-to-one matching algorithms. P. Jouannaud, editor, Rewriting Techniques and Applications, First International Conference, RTA-85, volume 202 of Lecture Notes in Computer Science, pages 407–416, Dijon, France, 1985. Springer Verlag. 70. A. Riazanov and A. Voronkov. Vampire. In H. Ganzinger, editor, Automated Deduction—CADE-16.

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