/usr/lib/llvm-3.8/include/lldb/API/ is in liblldb-3.8-dev 1:3.8-2ubuntu3~trusty5.
This file is owned by root:root, with mode 0o755.
..
/usr/lib/llvm-3.8/include/lldb/API/LLDB.h
/usr/lib/llvm-3.8/include/lldb/API/SBAddress.h
/usr/lib/llvm-3.8/include/lldb/API/SBAttachInfo.h
/usr/lib/llvm-3.8/include/lldb/API/SBBlock.h
/usr/lib/llvm-3.8/include/lldb/API/SBBreakpoint.h
/usr/lib/llvm-3.8/include/lldb/API/SBBreakpointLocation.h
/usr/lib/llvm-3.8/include/lldb/API/SBBroadcaster.h
/usr/lib/llvm-3.8/include/lldb/API/SBCommandInterpreter.h
/usr/lib/llvm-3.8/include/lldb/API/SBCommandReturnObject.h
/usr/lib/llvm-3.8/include/lldb/API/SBCommunication.h
/usr/lib/llvm-3.8/include/lldb/API/SBCompileUnit.h
/usr/lib/llvm-3.8/include/lldb/API/SBData.h
/usr/lib/llvm-3.8/include/lldb/API/SBDebugger.h
/usr/lib/llvm-3.8/include/lldb/API/SBDeclaration.h
/usr/lib/llvm-3.8/include/lldb/API/SBDefines.h
/usr/lib/llvm-3.8/include/lldb/API/SBError.h
/usr/lib/llvm-3.8/include/lldb/API/SBEvent.h
/usr/lib/llvm-3.8/include/lldb/API/SBExecutionContext.h
/usr/lib/llvm-3.8/include/lldb/API/SBExpressionOptions.h
/usr/lib/llvm-3.8/include/lldb/API/SBFileSpec.h
/usr/lib/llvm-3.8/include/lldb/API/SBFileSpecList.h
/usr/lib/llvm-3.8/include/lldb/API/SBFrame.h
/usr/lib/llvm-3.8/include/lldb/API/SBFunction.h
/usr/lib/llvm-3.8/include/lldb/API/SBHostOS.h
/usr/lib/llvm-3.8/include/lldb/API/SBInstruction.h
/usr/lib/llvm-3.8/include/lldb/API/SBInstructionList.h
/usr/lib/llvm-3.8/include/lldb/API/SBLanguageRuntime.h
/usr/lib/llvm-3.8/include/lldb/API/SBLaunchInfo.h
/usr/lib/llvm-3.8/include/lldb/API/SBLineEntry.h
/usr/lib/llvm-3.8/include/lldb/API/SBListener.h
/usr/lib/llvm-3.8/include/lldb/API/SBModule.h
/usr/lib/llvm-3.8/include/lldb/API/SBModuleSpec.h
/usr/lib/llvm-3.8/include/lldb/API/SBPlatform.h
/usr/lib/llvm-3.8/include/lldb/API/SBProcess.h
/usr/lib/llvm-3.8/include/lldb/API/SBQueue.h
/usr/lib/llvm-3.8/include/lldb/API/SBQueueItem.h
/usr/lib/llvm-3.8/include/lldb/API/SBSection.h
/usr/lib/llvm-3.8/include/lldb/API/SBSourceManager.h
/usr/lib/llvm-3.8/include/lldb/API/SBStream.h
/usr/lib/llvm-3.8/include/lldb/API/SBStringList.h
/usr/lib/llvm-3.8/include/lldb/API/SBSymbol.h
/usr/lib/llvm-3.8/include/lldb/API/SBSymbolContext.h
/usr/lib/llvm-3.8/include/lldb/API/SBSymbolContextList.h
/usr/lib/llvm-3.8/include/lldb/API/SBTarget.h
/usr/lib/llvm-3.8/include/lldb/API/SBThread.h
/usr/lib/llvm-3.8/include/lldb/API/SBThreadCollection.h
/usr/lib/llvm-3.8/include/lldb/API/SBThreadPlan.h
/usr/lib/llvm-3.8/include/lldb/API/SBType.h
/usr/lib/llvm-3.8/include/lldb/API/SBTypeCategory.h
/usr/lib/llvm-3.8/include/lldb/API/SBTypeEnumMember.h
/usr/lib/llvm-3.8/include/lldb/API/SBTypeFilter.h
/usr/lib/llvm-3.8/include/lldb/API/SBTypeFormat.h
/usr/lib/llvm-3.8/include/lldb/API/SBTypeNameSpecifier.h
/usr/lib/llvm-3.8/include/lldb/API/SBTypeSummary.h
/usr/lib/llvm-3.8/include/lldb/API/SBTypeSynthetic.h
/usr/lib/llvm-3.8/include/lldb/API/SBUnixSignals.h
/usr/lib/llvm-3.8/include/lldb/API/SBValue.h
/usr/lib/llvm-3.8/include/lldb/API/SBValueList.h
/usr/lib/llvm-3.8/include/lldb/API/SBVariablesOptions.h
/usr/lib/llvm-3.8/include/lldb/API/SBWatchpoint.h
/usr/lib/llvm-3.8/include/lldb/API/SystemInitializerFull.h