7th International Conference on Automated Deduction: Napa, by Jörg H. Siekmann (auth.), R. E. Shostak (eds.)

By Jörg H. Siekmann (auth.), R. E. Shostak (eds.)

The 7th overseas convention on automatic Deduction used to be held could 14-16, 19S4, in Napa, California. The convention is the first discussion board for reporting examine in all points of automatic deduction, together with the layout, implementation, and purposes of theorem-proving platforms, wisdom illustration and retrieval, application verification, good judgment programming, formal specification, software synthesis, and similar parts. The provided papers contain 27 chosen through this system committee, an invited keynote handle by way of Jorg Siekmann, and an invited dinner party tackle via Patrick Suppes. Contributions have been provided via authors from Canada, France, Spain, the uk , the USA, and West Germany. the 1st convention during this sequence used to be held a decade previous in Argonne, Illinois. Following the Argonne convention have been conferences in Oberwolfach, West Germany (1976), Cambridge, Massachusetts (1977), Austin, Texas (1979), Les Arcs, France (19S0), and manhattan, long island (19S2). software Committee P. Andrews (CMU) W.W. Bledsoe (U. Texas) prior chairman L. Henschen (Northwestern) G. Huet (INRIA) D. Loveland (Duke) earlier chairman R. Milner (Edinburgh) R. Overbeek (Argonne) T. Pietrzykowski (Acadia) D. Plaisted (U. Illinois) V. Pratt (Stanford) R. Shostak (SRI) chairman J. Siekmann (U. Kaiserslautern) R. Waldinger (SRI) neighborhood preparations R. Schwartz (SRI) iv CONTENTS Monday Morning common Unification (Keynote handle) Jorg H. Siekmann (FRG) .

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C. Oppen: 'Equations and Rewrite Rules', in 'Formal Languages: Perspectives and Open Problems', Ed. R. Book, Academic Press, 1980 [HR73j S. Heilbrunner: 'Gleichungssysteme fur Zeichenreihen', TU MUnchen, Abtl. Nr. 7311,1973 [HT72j C. Hewitt: 'Description and Theoretical analysis of PLANNER a language for proving theorems and manipulating models in a robot', Dept. C. Thesis, MIT, 1972 [HT76j C. Hewitt. , Working paper 92, 1976 38 [HT72j G. P. Huet. 'Constrained resolution: a complete method for theory', Jenning's Computing Centre rep.

L , e . are t h e c a noni ca l t h eo ri e s a dmi s s i b le? ~ ? i. e. c a n ever y finitel y b ased t h e ory wi t h a d ecidable = ~ wor d p r o b lem b e e mbedded i nto a rewr ite s ystem? Th is wou l d hav e str ong i mplicat ions f o r uni v ersal u n i f i c a t i o n alg o r i t hms. P11 : ( permutative theorie s ) . l i flJ i E { 1 , w , w1 } . Does t here ex i s t a t ype co n f o rm a l u niv er s al uni f i cat i on a l g o r ithm f or flJi? Is T E '1l. d e c i dable ? P12 : 1f T E P13: (e xis t ence prob l em ) .

E. in the light o f the above re s u l t s i s T E flJ decidable? P6 : T E P7 : Do e s t here e x i s t a minimal (an d / or typ e con f o r ma l ) univ ersal unif ication al gori thm for the whol e class P8 : * w1 ? J1t. Does there exist a type c onformal (i. e . J1t. Note this i s a p r e r e q u i s i t e w1 matching alg o r i t hm fo r f o r P7 . J1t. w1 ? Since this i s prob a b l y not the c a se : sho w its u nsolvability . Whe r e is t h e e xact bor d e r l ine? P9 : (P10): @ = 01. @ ?

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