BIB-VERSION:: CS-TR-v2.0 ID:: STAN//CS-TR-85-1056 ENTRY:: May 01, 1995 ORGANIZATION:: Stanford University, Department of Computer Science TITLE:: Nonclausal temporal deduction TYPE:: Technical Report AUTHOR:: Abadi, Martin AUTHOR:: Manna, Zohar DATE:: June 1985 PAGES:: 20 ABSTRACT:: We present a proof system for propositional temporal logic. This system is based on nonclausal resolution; proofs are natural and generally short. Its extension to first-order temporal logic is considered. Two variants of the system are described. The first one is for a logic with $\Box$ ("always"), $\Diamond$ ("sometime"), and $\bigcirc$ ("next"). The second variant is an extension of the first one to a logic with the additional operators U ("until") and P ("precedes"). Each of these variants is proved complete. NOTES:: [Adminitrivia V1/Prg/19950501] END:: STAN//CS-TR-85-1056